期刊
FUNDAMENTA INFORMATICAE
卷 132, 期 3, 页码 291-313出版社
IOS PRESS
DOI: 10.3233/FI-2014-1045
关键词
Three-way decisions; probabilistic rough sets; decision-theoretic rough sets; information-theoretic rough sets; information entropy; entropy minimization
资金
- NSERC Canada
In situations where available information or evidence is incomplete or uncertain, probabilistic two-way decisions/classifications with a single threshold on probabilities for making either an acceptance or a rejection decision may be inappropriate. With the introduction of a third non-commitment option, probabilistic three-way decisions use a pair of thresholds and provide an effective and practical decision-making strategy. This paper presents a multifaceted analysis of probabilistic three-way decisions. By identifying an inadequacy of two-way decisions with respect to controlling the levels of various decision errors, we examine the motivations and advantages of three-way decisions. We present a general framework for computing the required thresholds of a three-way decision model as an optimization problem. We investigate two special cases, one is a decision-theoretic rough set model and the other is an information-theoretic rough set model. Finally, we propose a heuristic algorithm for finding the required thresholds.
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